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On Dextral Symmetric Algebra
- Publication Year :
- 2024
-
Abstract
- We define the notion of dextral symmetric algebras (not necessarily associative), motivated by the idea of symmetric rings. We derive a complete classification of dextral symmetric algebras of Leavitt path algebras, and right Leibniz algebras up to dimension $4$. We also obtain that a finite-dimensional dextral symmetric right Leibniz algebra is solvable if and only if it satisfies a weaker notion of nilpotency.
- Subjects :
- Mathematics - Rings and Algebras
17A32, 16S88, 17A01
Subjects
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.2406.04013
- Document Type :
- Working Paper